On Two Fundamental Problems on APN Power Functions

DOI10.1109/TIT.2022.3147060zbMath1497.94215MaRDI QIDQ5088478

Marco Calderini, D. S. Davidova, Nikolay Kaleyski, Lilya Budaghyan, Claude Carlet

Publication date: 13 July 2022

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

zbMATH Keywords

Kasami functionsalternative representations for infinite APN monomial familiespower APN functionsWalsh spectrum of Dobbertin power family

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (94D10)

Related Items (3)

Solving \(X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b\) in \(\mathbb{F}_{2^{4 n}}\) and an alternative proof of a conjecture on the differential spectrum of the related monomial functions ⋮ An infinite family of 0-APN monomials with two parameters ⋮ Invertible quadratic non-linear functions over \(\mathbb{F}_p^n\) via multiple local maps

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